The following scatter plot compares gdpPercap and 'CO2 emissions (metric tons per capita)' in 1962.
Using the Pearson correlation test, the correlation between the two variables was found to be 0.9260817 (p = 1.1286792^{-46}).
The year with the strongest correlation, however, was determined to be in 1967, as shown in the table (left). A scatter plot (right) depicts the relationship of the two variables in this year by continent.
| Year | corr |
|---|---|
| 1967 | 0.9387918 |
| 1962 | 0.9260817 |
| 1972 | 0.8428986 |
| 1982 | 0.8166384 |
| 1987 | 0.8095531 |
| 1992 | 0.8094316 |
| 1997 | 0.8081396 |
| 2002 | 0.8006421 |
| 1977 | 0.7928336 |
| 2007 | 0.7204169 |
One-way ANOVA results determined there was a statistically significant difference [F(4, 516) = 58.3155786, p = 1.3130568^{-40}] in Energy use (kg of oil equivalent per capita) between continents. Because the adjusted R-squared was 0.305984, there was a weak linear relation between the treatment levels and response.
In the years after 1990, the mean Imports of goods and services (% of GDP) in Europe and Asia was 41.592 (SD = 16.22) and 46.475 (SD = 37.547), respectively. A Welch two-sample t-test demonstrated there was no statistically significant difference [t(91.9003189) = 1.0417023, p = 0.3, d = 0.1688254], meaning the means of the two populations were the same.
Note: To meet the normality assumption not met in the original data, a sqrt transformation was attempted. While the transformation improved the distribution of the data to normality, it provided no meaningful differences as it led to the same conclusion. Therefore, the analysis was done on the original data.
The country with the highest average ranking of 1.4732035^{4} in 'Population density (people per sq. km of land area)' across all years is Macao SAR, China, followed by Monaco with an average ranking of 1.40899^{4}.
The country with the greatest increase in life expectancy at birth since 1962 is Maldives (0.8371256), with Bhutan (0.7796518) coming second.